For which of the following reaction, the degree of dissociation (α) and equilibrium constant (Kp) are related as Kp=4α2P(1-α2)?
(1) N2O4(g) ⇌ 2NO2(g)
(2) H2(g) + I2(g) ⇌ 2HI(g)
(3) N2(g) + 3H2(g) ⇌ 2NH3(g)
(4) PCl3(g) + Cl2(g) ⇌ PCl5(g)
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Answered by
234
N2O4(g) ⇌ 2NO2(g)
Initially: 1 0
Finally: 1-α 2α
Let х = mole fraction = number of moles/ total moles ; P= total pressure
Now, total moles = 1-α+2α = 1+α
We know, Kp= (PNO2)²/PN2O4 = (хNO2 * P)²/(хN2O4 * P) = (2αP/(1+α))²/((1-α)P/(1+α)) = 4α²P/((1+α)(1-α)) = 4α²P/(1-α²)
Hence, option (1) N2O4(g) ⇌ 2NO2(g) is correct.
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